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Simplifying 0.06(y + -9) + 14y = 0.12y + -0.09(10) Reorder the terms: 0.06(-9 + y) + 14y = 0.12y + -0.09(10) (-9 * 0.06 + y * 0.06) + 14y = 0.12y + -0.09(10) (-0.54 + 0.06y) + 14y = 0.12y + -0.09(10) Combine like terms: 0.06y + 14y = 14.06y -0.54 + 14.06y = 0.12y + -0.09(10) Multiply -0.09 * 10 -0.54 + 14.06y = 0.12y + -0.9 Reorder the terms: -0.54 + 14.06y = -0.9 + 0.12y Solving -0.54 + 14.06y = -0.9 + 0.12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.12y' to each side of the equation. -0.54 + 14.06y + -0.12y = -0.9 + 0.12y + -0.12y Combine like terms: 14.06y + -0.12y = 13.94y -0.54 + 13.94y = -0.9 + 0.12y + -0.12y Combine like terms: 0.12y + -0.12y = 0.00 -0.54 + 13.94y = -0.9 + 0.00 -0.54 + 13.94y = -0.9 Add '0.54' to each side of the equation. -0.54 + 0.54 + 13.94y = -0.9 + 0.54 Combine like terms: -0.54 + 0.54 = 0.00 0.00 + 13.94y = -0.9 + 0.54 13.94y = -0.9 + 0.54 Combine like terms: -0.9 + 0.54 = -0.36 13.94y = -0.36 Divide each side by '13.94'. y = -0.02582496413 Simplifying y = -0.02582496413
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